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Submissions from 2014

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Free Energies in a General Non-Local Theory of a Material with Memory, Giovambattista Amendola, Mauro Fabrizio, and Murrough Golden

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Free Energies for Materials with Memory in Terms of State Functionals, Murrough Golden

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One-Dimensional Weakly Nonlinear Model Equations for Rossby Waves, David Henry and Rossen Ivanov

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Matrix G-strands, Darryl Holm and Rossen Ivanov

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On Mikhailov's Reduction Group, Tihomir I. Valchev

Submissions from 2013

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Mathematical Modelling at Secondary School: the MACSI-Clongowes Wood College Experience, J.P.F. Charpin, S. O'Hara, and D. Mackey

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On the Persistence Properties of the Cross-Coupled Camassa-Holm System, David Henry, Darryl Holm, and Rossen Ivanov

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G-Strands and Peakon Collisions on Diff(R), Darryl Holm and Rossen Ivanov

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Particle Trajectories in Extreme Stokes Waves Over Inifinte Depth, Tony Lyons

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Pricing European And American Options In The Heston Model With Accelerated Explicit Finite Differencing Methods, Conall O'Sullivan and Stephen O'Sullivan

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Weyl-Titchmarsh Type Formula for Periodic Schrodinger Operator with Wigner-von Neumann Potential, Sergey Simonov and Pavel Kurasov

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Spectral multiplicity of selfadjoint Schrodinger operators on star-graphs with standard interface conditions, Sergey Simonov and Harald Woracek

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On the Quadratic Bundles Related to Hermitian Symmetric Spaces, Tihomir Ilchev Valchev

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Holomorphic Basis for Families of Subspaces of a Banach Space, Milena Venkova and Christopher Boyd

Submissions from 2012

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Second Gradient Viscoelastic Fluids: Dissipation Principle and Free Energies, G. Amendola, M. Fabrizio, and Murrough Golden

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Existence of a Minimizer for the Quasi-Relativistic Kohn-Sham Model, Carlos Argáez García and Michael Melgaard

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Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time, Cormac Breen and Adrian Ottewill

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Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes, Cormac Breen and Adrian Ottewill

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Stiefel and Grassmann Manifolds in Quantum Chemistry, Eduardo Chiumiento and Michael Melgaard

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On Soliton Interactions for a Hierarchy of Generalized Heisenberg Ferromagnetic Models on SU(3)/S(U(1) $\times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, and Tihomir VAlchev

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On Projection-Invariant Subgroups of Abelian P-Groups, Brendan Goldsmith

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On Maximal Relatively Divisible Submodules, Brendan Goldsmith and Paolo Zanardo

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The Generalised Zakharov-Shabat System and the Gauge Group Action, Georgi Grahovski

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G-Strands, Darryl Holm, Rossen Ivanov, and James Percival

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Dark Solitons of the Qiao's Hierarchy, Rossen Ivanov and Tony Lyons

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Integrable Models for Shallow Water With Energy Dependent Spectral Problems, Rossen Ivanov and Tony Lyons

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Cyclic Universe with an Inflationary Phase from a Cosmological Model with Real Gas Quintessence, Rossen Ivanov and Emil Prodanov

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The 2-Component Dispersionless Burger's Equation Arising In The Modelling Of Bloodflow, Tony Lyons

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Multiple Solutions of the Quasi Relativistic Choquard Equation, Michael Melgaard and Frederic D. Y. Zongo

Submissions from 2011

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Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry, Carlos Argáez García and Michael Melgaard

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Holomorphic Liftings from Infinite Dimensional Spaces, Sean Dineen and Milena Venkova

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Multifluid Magnetohydrodynamic Turbulent Decay, Turlough Downes and Stephen O'Sullivan

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Euler Equations on a Semi-Direct Product of the Diffeomorphisms Group by Itself, Joachim Escher, Rossen Ivanov, and Boris Kolev

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On the (Non)-Integrability of KdV Hierarchy with Self-consistent Sources, Vladimir Gerdjikov, Georgi Grahovski, and Rossen Ivanov

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Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, and Tihomir Valtchev

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Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces, Vladimir Gerdjikov, Georgi Grahovski, Alexander V. Mikhailov, and Tihomir Valchev

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On the N-Wave Equations and Soliton Interactions in Two and Three Dimensions, Vladimir S. Gerdjikov, Rossen Ivanov, and Assen V. Kyuldjiev

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On socle-regularity and some notions of transitivity for Abelian p-groups, Brendan Goldsmith and Peter Danchev

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On Adjoint Entropy of Abelian Groups, Brendan Goldsmith and Ketao Gong

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A Stability Study of a New Explicit Numerical Scheme for a System of Differential Equations with a Large Skew-Symmetric Component, Katharine Gurski and Stephen O'Sullivan

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Smooth and Peaked Solitons of the Camassa-Holm Equation and Applications, Darryl Holm and Rossen Ivanov

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On the Acceleration of Explicit Finite Difference Methods for Option Pricing, Stephen O'Sullivan and Conall O'Sullivan

Submissions from 2010

Spectral Theory of Semibounded Sturm-Liouville Operators with Local Interactions on a Discrete Set, Sergio Albeverio, Aleksey Kostenko, and Mark Malamud

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Study of the Photoinduced Surface Relief Modulation in Photopolymers caused by Illumination with a Gaussian Beam of Light, Tzvetanka Babeva, Dana Mackey, Suzanne Martin, Izabela Naydenova, and Vincent Toal

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Two-way Diffusion Model for Short Exposure Holographic Grating Formation in Acrylamide-based Photopolymer, Tzvetanka Babeva, Izabela Naydenova, Dana Mackey, Suzanne Martin, and Vincent Toal

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Extended Green-Liouville asymptotics and vacuum polarization for lukewarm black holes, Cormac Breen and Adrian Ottewill

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Inverse scattering transform for the Degasperis–Procesi equation, Adrian Constantin, Rossen Ivanov, and Jonatan Lenells

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Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory, Vladimir Gerdjikov and Georgi Grahovski

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On the socles of characteristic subgroups of Abelian p-groups, Brendan Goldsmith and Peter Danchev

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The maximal pure spectrum of an Abelian group, Brendan Goldsmith and Ruediger Goebel

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Schrödinger Operators with δ'Interactions and the Krein–Stieltjes String, Aleksey Kostenko and M. M. Malamud

Complex absorbing potential method for systems, Jimmy Kungsman and Michael Melgaard

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A Diffusion Model for Spatially Dependent Photopolymerization, Dana Mackey, Tzvetanka Babeva, Izabela Naydenova, and VIncent Toal

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A Model for Predicting Extragalactic Jet Lifetimes, Daniel S. Spicer, Robert Bingham, and Stephen O'Sullivan

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From Permutahedron to Aassociahedron, Colum Watt and Thomas Brady

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From Permutahedron to Associahedron, Colum Watt and Thomas Brady

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Climbing Eements in Finite Coxeter Groups, Colum Watt, Thomas Brady, and Aisling Kenny

Submissions from 2009

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On the socles of characteristic subgroups of Abelian p-groups, P. V. Danchev and Brendan Goldsmith

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Algebraic entropy for Abelian groups, Dikran Dikranjan, Brendan Goldsmith, Luigi Salce, and Paolo Zanardo

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Nonideal Magnetohydrodynamic Turbulent Decay in Molecular Clouds, Turlough Downes and Stephen O'Sullivan

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Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations, Mattias Enstedt and Michael Melgaard

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On modules which are self-slender, R. Gobel, Brendan Goldsmith, and O. Kolman

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Phase Transitions in Materials with Thermal Memory: the Case of Unequal Conductivities, Murrough Golden

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On the socles of fully invariant Abelian p-groups, Brendan Goldsmith and P. V. Danchev

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Generalised Fourier Transform and Perturbations to Soliton Equations, Georgi Grahovski and Rossen Ivanov

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Converging Flow Between Coaxial Cones, O. Hall, A. D. Gilbert, and C. P. Hills

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Nonaxisymmetric Stokes Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

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Equations of the Camassa-Holm Hierarchy, Rossen Ivanov

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Two component integrable systems modelling shallow water waves: the constant vorticity case, Rossen Ivanov

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Stochastic particle acceleration in the lobes of giant radio galaxies, Stephen O'Sullivan, Brian Reville, and Andrew Taylor

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Daemon Decay and Inflation, Emil Prodanov

Submissions from 2008

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On an integrable two-component Camassa-Holm shallow water system, Adrian Constantin and Rossen Ivanov

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Nearly-Hamiltonian Structure for Water Waves with constant vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

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Existence of a solution to Hartree-Fock equations with decreasing magnetic field, Mattias Enstedt and Michael Melgaard

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Higher derivatives of spectral functions associated with one-dimensional schrodinger operators, Daphne Gilbert, B.J. Harris, and S.M. Riehl

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Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations, Rossen Ivanov

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Non-existence of a minimizer to the Hartree-Fock functional, Michael Melgaard and Mattias Enstedt

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Interacting Jets From Binary Protostars, Gareth Murphy, Thibaut Lery, Stephen O'Sullivan, Daniel S. Spicer, Francesca Bacciotti, and Alex Rosen

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Equation of State for a van der Waals Universe during Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

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Environmental limits on the nonresonant cosmic-ray current-driven instability, Brian Reville, John Kirk, Peter Duffy, and Stephen O'Sullivan

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The transport of Cosmic Rays in Self‐Excited Magnetic Turbulence, Brian Reville, Stephen O'Sullivan, Peter Duffy, and John Kirk

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Non-crossing Partition Lattices in Finite Real Reflection Groups, Colum Watt and Thomas Brady

Submissions from 2007

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Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation, S. Roy Choudhury, Rossen Ivanov, and Yue Liu

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Krylov subspaces from bilinear representations of nonlinear systems, Marissa Condon and Rossen Ivanov

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Generalised Fourier transform for the Camassa-Holm hierarchy, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov

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Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

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On cosmall Abelian groups, Brendan Goldsmith and O. Kolman

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Some transitivity results for torsion Abelian groups, Brendan Goldsmith and Lutz Strungmann

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A note on clean abelian groups, Brendan Goldsmith and P. Vamos

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Slow Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

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Conformal and geometric properties of the Camassa-Holm hierarchy, Rossen Ivanov

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Water waves and Integrability, Rossen Ivanov

Jost solutions for a class of slowly decaying potentials, Alain Kerouanton

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Optimising the ratio of horseradish peroxidase and glucose oxidase on a bienzyme electrode: comparison of a theoretical and experimental approach, Dana Mackey, Anthony Killard, Adriano Ambrosi, and Malcolm Smyth

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A Three‐Dimensional Numerical Method for Modelling Weakly Ionized Plasmas, Stephen O'Sullivan and Turlough Downes

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Reissner-Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

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Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

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A cosmic ray current-driven instability in partially ionised media, Brian Reville, John Kirk, Peter Duffy, and Stephen O'Sullivan

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Shellability of Noncrossing Partition Lattices, Colum Watt, Thomas Brady, and Christos Athanasiadis

Submissions from 2006

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Inverse Scattering Transform for the Camassa-Holm equation, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov